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Numbers k such that if 1 <= j < k then the fractional part of the k-th partial sum of the harmonic series > the fractional part of the j-th partial sum of the harmonic series.
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%I #18 Feb 26 2022 13:48:52

%S 2,3,10,29,30,225,226,4549,91379,248395,248396,675212,675213,4989190,

%T 13562026,36865410,36865411,100210578,100210579,100210580,5471312309,

%U 14872568829,14872568830,40427833594,40427833595,109894245427,109894245428,812014744421

%N Numbers k such that if 1 <= j < k then the fractional part of the k-th partial sum of the harmonic series > the fractional part of the j-th partial sum of the harmonic series.

%o (PARI) lista(nn) = {fr = 0; h = 1; for (n = 2, nn, h += 1/n; if ((nfr = frac(h)) > fr, print1(n, ", "); fr = nfr;););} \\ _Michel Marcus_, Sep 30 2013

%K nonn

%O 1,1

%A _Clark Kimberling_

%E a(9) from _Michel Marcus_, Sep 30 2013

%E More terms from _Jon E. Schoenfield_, Dec 23 2013